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Finding the Fourth Proportional to 421,387.50, 581,525.28 and 255,817.47

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Solution

The fourth proportional to 421,387.50, 581,525.28 and 255,817.47 is: 353,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,387.50 : 581,525.28 = 255,817.47 : x
  2. Step 2: Convert to fraction form
    421,387.50/581,525.28 = 255,817.47/x
  3. Step 3: Cross multiply
    421,387.50x = 581,525.28 × 255,817.47
  4. Step 4: Simplify right side
    421,387.50x = 148,764,325,870.64
  5. Step 5: Solve for x
    x = 148,764,325,870.64/421,387.50
  6. Step 6: Final answer
    x = 353,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.